Illustrative Mathematics
Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius
In this task involving temperature conversions, young scholars construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns...
Illustrative Mathematics
Illustrative Mathematics: Weather Graph Data
The purpose of this task is for students to represent and interpret weather data, as well as answer questions about the data they have recorded. Student worksheets and recording sheet are included.
Illustrative Mathematics
Illustrative Mathematics: Comparing Numbers
This task is a fun partner game in which students practice making two-digit numbers, decide which is greater, and write the appropriate comparison symbolically.
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2
In this task about canoeing, paddling speed, and current speed, students examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...
Illustrative Mathematics
Illustrative Mathematics: F Bf Kimi and Jordan
In this problem, learners compare the different incomes and allowances of two young people to see who has earned more in a set period of time, when they will be equal, and what happens if one gets a raise or loses their allowance. Aligns...
Illustrative Mathematics
Illustrative Mathematics: F Bf Us Households
For this task, students are asked to find a linear function which models the number of households in the U.S. as a function of the year. They are also to construct and use an inverse function to model the context, and interpret their...
Illustrative Mathematics
Illustrative Mathematics: F Bf Identifying Even and Odd Functions
In this task, students are presented with four functions and must determine whether each is odd, even, or neither. Includes a GeoGebra worksheet that can be used by the instructor to demonstrate the material. Aligns with F-BF.B.3.
Illustrative Mathematics
Illustrative Mathematics: F Bf Crude Oil and Gas Mileage
For this task, students write expressions that describe the relationship between quantities. The task looks at the amount of gas produced by a given number of barrels of crude oil, the number of miles a vehicle can drive on a quantity of...
Illustrative Mathematics
Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns
This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Triangle Series
The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation....
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3: Profit of a Company
This task compares the usefulness of different forms of a quadratic expression. Learners have to choose which form most easily provides information about the maximum value. Aligns with A-SSE.B.3.
Illustrative Mathematics
Illustrative Mathematics: Measuring Variability in a Data Set
The purpose of this student task is to develop understanding of standard deviation. Aligns with S-ID.A.2 and S-ID.A.3.
Illustrative Mathematics
Illustrative Mathematics: Describing Events
The purpose of this task is to review the definitions of sample space and events. Students are asked to describe events both verbally and as subsets of a sample space. Aligns with S-CP.A.1.
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2, N cn.b.5, and N cn.c.8 Complex Cube Roots
This task has students further their understanding of the algebra of the complex numbers. Aligns with N-CN.A.2, N-CN.B.5,a nd N-CN.C.8.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3: Dinosaur Bones
The purpose of this task is to illustrate through an absurd example the fact that in real life quantities are reported to a certain level of accuracy, and it does not make sense to treat them as having greater accuracy. Aligns with N-Q.A.3.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3: Calories in a Sports Drink
The goal of the task is to stimulate a conversation about rounding and about how to record numbers with an appropriate level of accuracy, tying in directly to the standard N-Q.3. Aligns with N-Q.A.3.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3 and F le.a.4: Accuracy of Carbon 14 Dating Ii
This task is a refinement of "Carbon 14 dating" which focuses on accuracy. Aligns with N-Q.A.3 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3: Bus and Car
This task it is an exploration of the relationship between speed, distance, and time. An understanding average speed gives an opportunity to address common confusion between average speed and the average of the speeds for the two...
Illustrative Mathematics
Illustrative Mathematics: N q.a.1: Fuel Efficiency
The problem requires learners to not only convert miles to kilometers and gallons to liters but they also have to deal with the added complication of finding the reciprocal at some point. Aligns with N-Q.A.1.
Illustrative Mathematics
Illustrative Mathematics: N q.a.1: How Much Is a Penny Worth?
Students will determine the "real worth" of a penny by analyzing the present worth of the various metals that are used to compose the penny. Aligns with N-Q.A.1.
Illustrative Mathematics
Illustrative Mathematics: N q.a.1, a ced.a.1, and N q.a.2: Harvesting the Fields
This task is about farm-workers who are harvesting two fields. Students are presented with a scenario involving two teams of workers, two different sizes of fields, and work spread out over two days. They must calculate how many...
Illustrative Mathematics
Illustrative Mathematics: N cn.c.7 and a rei.b.4.a: Completing the Square
The goal of this task is to solve quadratic equations with complex roots by completing the square. Aligns with N-CN.C.7 and A-REI.B.4.aI.
Illustrative Mathematics
Illustrative Mathematics: 4.nf Making 22 Seventeenths in Different Ways
This task is a straightforward task related to adding fractions with the same denominator. The main purpose is to emphasize that there are many ways to decompose a fraction as a sum of fractions, similar to decompositions of whole...
Illustrative Mathematics
Illustrative Mathematics: 4.g Lines of Symmetry for Circles
Mr. Watkins asked his students to draw a line of symmetry for a circle with center $O$ pictured below: Aligns with 4.G.A.3.